首先

First, it has an important aesthetic function.

首先，它具有重要的审美功能。

First of all, traditional costas loop and AFC was modified.

首先对传统的科斯塔斯环和叉积自动频率跟踪算法进行改进。

In this speech,Commerce Minister Bo Xilai first congratulated the AFDC on the 10th anniversary of its founding and expressed his joy to have the opportunity to meet so many Chinese and foreign ambassadors.

薄熙来部长在讲话中首先祝贺中国前外交官联谊会成立十周年，并对今天有机会见到那么多熟悉的中、外大使感到格外的亲切和高兴。

First, the solution decomposes some similar and actual e-government affaire flows with loosing-coupling. Then the solution abstract reusable modules as more as possible.

该方案首先对若干个一类具体政务流程进行松耦合分解，然后最大限度的抽象出能够复用的基本单元。

First, Analyze the Meaning and Significance of Aesthetic Affective Education.

首先，审美情感教育的内涵和意义的分析。

Firstly, this paper analyzed the finance conditions around real estate industry, and then discussed problems exiting in real estate business financing and abuses about current financing policies based on financing theories, studied real estate business financing instruments involving bank loan, issuance of stocks, issuance of bonds, and real estate affiance.

本文首先分析房地产业所处的金融环境，依据融资理论的指导，探讨房地产企业融资存在的一些问题和融资政策方面的弊端，研究房地产企业融资工具，考察银行贷款、发行股票、发行企业债券以及房地产信托方式，旨在寻找适合企业自身条件的融资方式，拓宽企业融资渠道，改善企业融资结构。

Firstly, we calculate the Lie point symmetry of 1+2-dimensional nonlinear evolution equation:Which arises from the motion of plane curves in affine geometry.

我们首先计算了来自射影几何的平面曲线运动的非线性发展方程：所容许的李点对称群。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The image registration firstly assumes that there is some transformation between frame and frame of images, such as translation, affine and planar surface etc. and then registers images.

图象配准算法首先假设图象帧间存在某些变换，例如平移变换、仿射变换和平面变换等，然后对序列图象进行运动配准。

In Brunn-Minkowski-Firey theory, we establish two extremum properties of the new ellipsoid; Then we generalize Petty\'s affine projection inequality and monotonicity results related to affine surface area to L_p—affine surface area; We establish the Brunn-Minkowski type inequalities for the volume of the L_p centroid body and its polar body with respect to the normalized L_p radial addition. At last, we introduce the minimal L_p—mean width of a convex body and generalize the minimal mean width to the Brunn-Minkowski-Firey theory.

在L_p-Brunn-Minkowski理论中，我们首先给出了两个关于新椭球的极值性质；然后研究了L_p仿射表面积，将Petty仿射投影不等式和Winterniz单调性问题推广到L_p仿射表面积；建立了L_p质心体和其极体的Brunn-Minkowski型不等式；研究了凸体的最小L_p平均宽度，给(来源：3bABbeC论文网www.abclunwen.com)出凸体K具有最小L_p平均宽度的充分必要条件，最后给出了凸体L_p平均宽度位置的稳定性。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷